Answer. Value at the end of 5 year=$161.12
Effective annual interest rate= 1.45% per annum
find the Laplace Transform of f(t) = t2 - 3t,
where f has a period 3, for 0
We were unable to transcribe this image(c) L[f(t)] where f has period 3, f(t) = 12 - 3t for 0 st <3
4. Find the Laplace transform of the following function. 0 st<1 t + 1 1s1<2 g(t) = 2st<3 01
(10 pts) Suppose an object moves along a line with velocity v(t) = 3+- 18t +24, for 0 st < 5, where t is measured in seconds and velocity have unit of ft/s. (a) Determine when the motion is in the positive direction and when it is in the negative direction. (b) Find the displacement of the object on the interval 0 st 35. (c) Write down an expression for the distance traveled by the object over the interval 0...
Engineering Analysis
Q.1. f(t) = {S; if - 4 <t<o if 0 st <4 a) Sketch the function for 3 cycles [5 points ] b) Find the Fourier series for the function. [15 points)
13. Given that f(t) has a discontinuity such as described below f(t) = t 0 st<5 f(t) = t 6 st Assume that the Unilateral Laplace transform obtained by integration is F(s). If one did the inversion either by integral or table to obtain f(t) what value would be returned ift= 5.5? Undefined 05 5.5 6 infinity answer not given
Problem 1.8 You deposit $5,000 in an account earning 5% interest compounded semi-annually for 2 years and 7% interest compounded quarterly thereafter. What is the account value after 7 years? Problem 1.9 What is the equivalent effective annual (compound) interest rate in Problem 1.8? Problem 1.10 You deposit $5,000 in an account that earns 5% interest compounded annually in years 1 and 2, and thereafter a continuous rate δ(t) = 2/(t + 1) (t > 0). What is the value...
Problem 1.8 You deposit $5,000 in an account earning 5% interest compounded semi-annually for 2 years and 7% interest compounded quarterly thereafter. What is the account value after 7 years? Problem 1.9 What is the equivalent effective annual (compound) interest rate in Problem 1.8? Problem 1.10 You deposit $5,000 in an account that earns 5% interest compounded annually in years 1 and 2, and thereafter a continuous rate δ(t) = 2/(t + 1) (t > 0). What is the value...
2. If C is the space curve given by F(t) = (t, t”, t') (0 St < 1) and F(x, y, z) = (1+z, cos(TX), e24), find ScF. dr.
Score: 0 of 1 pt | 4 of 7 (5 complete) HW Score: 66.67%, & Problem 4-81 (algorithmic) Question H Suppose that the parents of a young child decide to make annual deposits into a savings account, with the first deposit being made on the child's fifth birthday and the last deposit being made on the 15th birthday. Then, starting on the child's 18th birthday, the withdrawals as shown on the diagram below will be made. If the effective annual...
Problem 1 (20 pts) Suppose that x(t) = e 2 for 0 st <3 and is periodic with period 3. a) Determine the fundamental frequency of this signal. (2 pts) b) Determine the Fourier series representation for this signal. (7 pts) c) Suppose that this signal is the input to an LTI system with impulse response h(t) = 5sinc(0.5t). Determine the Fourier series representation for the output signal y(t). Be sure to specify the fundamental period and all Fourier series...